A student weighing 700 N climbs at constant
speed to the top of an 8 m vertical rope in 10
s.
The average power expended by the student
to overcome gravity is most nearly
1. P = 560 W.
2. P = 87.5 W.
3. P = 5, 600 W.
4. P = 1.1 W.
5. P = 875 W.
Power = Work/Time
= Weight*(Vertical rise)/Time
Use the formula.
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560
To find the average power expended by the student, we need to use the formula for power, which is given by:
Power = Work / Time
In this case, the work done by the student is equal to the force multiplied by the distance.
Work = Force * Distance
The force is equal to the weight of the student, which is given as 700 N. The distance is the height of the rope, which is 8 m.
Work = 700 N * 8 m = 5600 J
Now we can plug the values into the power formula:
Power = 5600 J / 10 s = 560 W
Therefore, the average power expended by the student to overcome gravity is approximately 560 W. The correct answer is option 1: P = 560 W.